<p>Hi! I figured that if anyone knew how to do this, you guys would! I'm looking to program some sort of executable program into my TI-83 plus calculator for the trapezoidal rule (definite integrals). I believe that this may also be called "Simpson's Rule," but I'm not sure yet, as this is the beginning of the class. Anyway, I'm sick of doing it out the long way, and I can't find any instructions online that I can follow myself. :(</p>
<p>I would reeeeeeeeeally appreciate it (like you don't even know how much!!) if someone could please give me instructions on exactly what to enter. I'm a bit old fashioned I suppose, so I like doing most of my math by hand or mentally (it keeps me sharp, hahahaha), but when I have to do it over 100 intervals, that's just torture!!!</p>
<p>P.S. I'm homeschooled, so I unfortunately cannot ask my "teacher," as my mother is even worse off than I am when it comes to electronics. lol Thanks in advance if anyone can help!!! :)</p>
<p>I was actually looking for the same thing... by the way, the trapezoidal rule and Simpson's rule are two different things. Let me know what you find, if I find something I will let you know.</p>
<p>I'm pretty sure that there is a program online somewhere, but I can't exactly bother myself to look for one. :)</p>
<p>That being said, something like the following might work (as long as you don't want any frills (like uneven intervals). You'd have to put the function into Y1:</p>
<p>Input "Left Endpt",L
Input "Right Endpt",R
Input "No. Intervals",I
(R-L)/I -> W (-> for the STO> button on the calculator)
Y1(L) -> S
Lbl 1 (can't remember if the TI-83 uses letters/numbers both for the labels)
L + W -> L
If L == R
Then
S + Y1(L) = S
Goto 2
Else
S + 2Y1(L) = S
Goto 1</p>
<hr>
<p>Lbl 2
Disp "Trap Area ="
Disp S</p>
<p>At the *** step, I think you might technically need an End step there.</p>
<p>But I'm rusty at this.</p>
<p>I remember seeing a program once upon a time that would actually draw in the representative rectangles for rectangular approximation (I don't know if it did trapezoidal rule), which I thought was really neat, but I don't know if that's online.</p>
<p>I don't know how to program that in!!! :'-((((((((( Can anyone else help please?</p>
<p>Geez, you guys are already learning how to find area under a curve when your AP calc class just started? Kudos. But, the trapezoidal rule and Simpson's rule are a little different. Simpson's rule is more accurate and is more complete.</p>